2 pts (1 pt partial products, 1 pt final sum)
423
× 132
846 (\(423 \times 2\))
12,690 (\(423 \times 30\))
42,300 (\(423 \times 100\))
55,836
Answer: 55,836
Common Errors: Omitting the placeholder zeros when multiplying by the tens digit (30) or hundreds digit (100). Check alignment of columns.
School Spirit Shop Multi-Step Problem 2 pts (1 pt setup, 1 pt answer)
Answer: $360 Steps: 3 Multiplications + 1 Addition + 1 Subtraction
1. Hoodies: \(30 \times \$28 = \mathbf{\$840}\)
2. Pennants & Bottles: Pennants: \(25 \times \$8 = \$200\)
Bottles: \(20 \times \$14 = \$280\)
Combined: \(\$200 + \$280 = \mathbf{\$480}\)
3. Difference: \(\$840 - \$480 = \mathbf{\$360}\)
Community Cinema Ticket Sales 1 pt
Answer: $3,240 Accept either method
Method A (Add, then multiply): Total tickets = \(135 + 225 = 360\)
Total revenue = \(360 \times \$9 = \mathbf{\$3,240}\)
Method B (Distributive property): Matinees = \(135 \times \$9 = \$1,215\)
Evenings = \(225 \times \$9 = \$2,025\)
Total = \(\$1,215 + \$2,025 = \mathbf{\$3,240}\)
Compatible Numbers & Estimation (\(34 \times 412\)) 2 pts (1 pt Part A, 1 pt Part B)
Part A Answers:
You: \(30 \times 400 = \mathbf{12,000}\) Your friend: \(40 \times 420 = \mathbf{16,800}\)
Part B Answer & Reasoning:
Your estimated product is an underestimate and your friend’s estimated product is an overestimate.
Reasoning: In your estimate, both factors decreased (\(30 < 34\) and \(400 < 412\)), guaranteeing a product less than actual (\(12,000 < 14,008\)). In your friend's estimate, both factors increased (\(40 > 34\) and \(420 > 412\)), guaranteeing a product greater than actual (\(16,800 > 14,008\)).
Grade 5 Mathematics • Chapter 4 Test Answer Key Page 2 of 2
